Trigonometry Practice Question and Answer
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Q: $${1+sinθ}\over cosθ $$ is equal to which of the following (where $$θ ≠ {π\over2} $$
463 064805f22f4063d472f2f86a3
64805f22f4063d472f2f86a3- 1$${1+cosθ}\over sinθ $$false
- 2$${tan θ+1}\over tan θ-1 $$false
- 3$${tan θ-1}\over tan θ+1 $$false
- 4$$cosθ \over {1-sinθ}\ $$true
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Answer : 4. "$$cosθ \over {1-sinθ}\ $$"
Q: If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$
443 064c21c6329beb3482a351e7c
64c21c6329beb3482a351e7c- 1$$3\sqrt { 2}$$false
- 2$$2-\sqrt { 3}$$true
- 3$$2\sqrt { 3}$$false
- 4$$2+\sqrt { 3}$$false
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Answer : 2. "$$2-\sqrt { 3}$$ "
Q: what is the value of the expression
cos 2A cos2B+sin2(A-B)-sin2(A+B)?
437 064804426f4063d472f2f1a1c
64804426f4063d472f2f1a1ccos 2A cos2B+sin2(A-B)-sin2(A+B)?
- 1sin(2A-2B)false
- 2cos(2A+2B)true
- 3cos(2A-2B)false
- 4sin(2A+2B)false
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Answer : 2. "cos(2A+2B)"
Q: If $${secθ+tanθ\over secθ-tanθ}={5\over 3}$$ then sinθ is equal to ;
436 06332e72131300b7ce4906883
6332e72131300b7ce4906883- 1$${1\over 4}$$true
- 2$${1\over 3}$$false
- 3$${2\over 3}$$false
- 4$${3\over 4}$$false
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Answer : 1. "$${1\over 4}$$"
Q: If $${cos^2θ\over cot^2θ-cos^2θ}=3,$$ where $${0^0<θ<90^0}$$ then the value of θ is:
435 064cceaad8f85ca71558f2e3e
64cceaad8f85ca71558f2e3e- 1$${{45^0}}$$false
- 2$${{50^0}}$$false
- 3$${{60^0}}$$true
- 4$${{50^0}}$$false
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Answer : 3. "$${{60^0}}$$"
Q: $$\left({1\over cosecθ}-{1\over sinθ} \right)+{1\over {cosecθ-cotθ}} -{1\over secθ+tanθ} =?$$
425 064bf7b8488d5e4f52df2abf6
64bf7b8488d5e4f52df2abf6- 1sinθcosθfalse
- 2sinθtanθfalse
- 3secθcosecθtrue
- 4cosecθcotθfalse
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Answer : 3. "secθcosecθ"
Q: If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:
414 064ccb76929beb3482a58126a
64ccb76929beb3482a58126a- 1$${35\over72}$$false
- 2$${36\over72}$$false
- 3$${91\over144}$$false
- 4$${65\over144}$$true
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Answer : 4. "$${65\over144}$$"
Q: △ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:
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64805acba33e0f47b771a1c5- 1$$2{4\over 5}$$false
- 2$$2{2\over 5}$$true
- 3$$3{1\over 5}$$false
- 4$$1{1\over 5}$$false
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Answer : 2. "$$2{2\over 5}$$"
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